Question

5 cm

What is measure of angle A?

3 cm

Enter your answer as a decimal in the box.

Round only your final answer to the nearest

hundredth

4 cm

Answer 1

The graph is missing, so there are two options m∠A = 36.87° or m∠A = 53.13°

Explanation:

Assuming that 3 cm, 4 cm and 5 cm are the length of the sides of a triangle, then a right triangle is formed, in which 5 cm is the length of the hypotenuse and 3 cm and 4 cm are the length of the legs.

Angle A is either the angle between 4 cm and 5 cm sides or between 3 cm and 5 cm sides. For the first case:

cos(A) = adjacent/hypotenuse =

cos(A) = 4/5

A = arccos(4/5) = 36.87°

For the second case:

cos(A) = 3/5

A = arccos(3/5) = 53.13°